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The Euler characteristic of local systems on the moduli of curves and abelian varieties of genus three

Journal

Journal of Topology

Volume | Issue number

1 | 3

Pages (from-to)

651-662

Document type

Article

Faculty

Faculty of Science (FNWI)

Institute

Korteweg-de Vries Institute for Mathematics (KdVI)

Abstract

We show how to calculate the Euler characteristic of a local system Vλ associated to an irreducible representation Vλ of the
symplectic group of genus 3 on the moduli space M3 of curves of genus 3 and the moduli space A3 of principally polarised abelian
varieties of dimension 3.

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